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106929133 = 172369997
BaseRepresentation
bin1100101111110…
…01101111101101
321110012120012021
412113321233231
5204333213013
614335510141
72435611513
oct627715755
9243176167
10106929133
11553a4493
122b988351
13191cb69c
14102b64b3
1595c2a8d
hex65f9bed

106929133 has 6 divisors (see below), whose sum is σ = 113589386. Its totient is φ = 100638912.

The previous prime is 106929127. The next prime is 106929161. The reversal of 106929133 is 331929601.

It can be written as a sum of positive squares in 3 ways, for example, as 61811044 + 45118089 = 7862^2 + 6717^2 .

It is not a de Polignac number, because 106929133 - 221 = 104831981 is a prime.

It is a super-2 number, since 2×1069291332 = 22867678968263378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106929113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184710 + ... + 185287.

Almost surely, 2106929133 is an apocalyptic number.

It is an amenable number.

106929133 is a deficient number, since it is larger than the sum of its proper divisors (6660253).

106929133 is an equidigital number, since it uses as much as digits as its factorization.

106929133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370031 (or 370014 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 106929133 is about 10340.6543796802. The cubic root of 106929133 is about 474.6411072954.

The spelling of 106929133 in words is "one hundred six million, nine hundred twenty-nine thousand, one hundred thirty-three".

Divisors: 1 17 289 369997 6289949 106929133